Greatest number of three digits that can be exactly divided by 75,45,60
Answers
Answered by
3
Answer:
Step-by-step explanation:
Total numbers = 3 ( 45, 60 and 75) (Given)
The formula used can be = n(LCM of the no.s) + remainder required
Finding the L.C.M of given numbers -
75 = 3 × 5²
45 = 3² × 5
60 = 2² × 3 × 5
Thus, L.C.M = 2² × 3² × 5²
Therefore, L.C.M = 900
Now, if we divide 999 by 900 we will get 99 as remainder. So the 3 digit number exactly divisible by by 75,45 & 60
= 999 -99
=900
Thus, 900 is the greatest 3 - digit no. which is exactly divisible by 75 , 45 and 60.
Similar questions